77606129 has 2 divisors, whose sum is σ = 77606130. Its totient is φ = 77606128.

The previous prime is 77606119. The next prime is 77606171. The reversal of 77606129 is 92160677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 8133904 = 8335^2 + 2852^2 .

It is a cyclic number.

It is not a de Polignac number, because 77606129 - 2¹² = 77602033 is a prime.

It is a super-2 number, since 2×77606129² = 12045422516729282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77606092 and 77606101.

It is not a weakly prime, because it can be changed into another prime (77606119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38803064 + 38803065.

It is an arithmetic number, because the mean of its divisors is an integer number (38803065).

Almost surely, 2^77606129 is an apocalyptic number.

It is an amenable number.

77606129 is a deficient number, since it is larger than the sum of its proper divisors (1).

77606129 is an equidigital number, since it uses as much as digits as its factorization.

77606129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 77606129 is about 8809.4340907915. The cubic root of 77606129 is about 426.5454763090.

The spelling of 77606129 in words is "seventy-seven million, six hundred six thousand, one hundred twenty-nine".